Mister Exam

Integral of -x+4 dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
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 |  (-x + 4) dx
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$$\int\limits_{0}^{1} \left(4 - x\right)\, dx$$
Integral(-x + 4, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    1. The integral of a constant is the constant times the variable of integration:

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                         2
 |                         x 
 | (-x + 4) dx = C + 4*x - --
 |                         2 
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$$\int \left(4 - x\right)\, dx = C - \frac{x^{2}}{2} + 4 x$$
The graph
The answer [src]
7/2
$$\frac{7}{2}$$
=
=
7/2
$$\frac{7}{2}$$
7/2
Numerical answer [src]
3.5
3.5
The graph
Integral of -x+4 dx

    Use the examples entering the upper and lower limits of integration.